Question

FAN MEDAL INSTAGRAM


Given the system of equations presented here:

2x + 4y = 14
4x + y = 20

Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated?

Answer 1

@mathstudent55

Answer 2

we know that when a number and its opposite is added, then the result is 0. let's try to cancel x. we have 2x and 4x.

Answer 3

Multiply both sides of the second equation by -4.

Answer 4

if we have -4 + 4 =0

Answer 5

thus multiply the first equation by -2 and the second one by -1

Answer 6

Well these are the answers
Multiply the second equation by −4 to get −16x − 4y = −80
Multiply the second equation by −1 to get −4x − y = −20
Multiply the first equation by 2 to get 4x + 8y = 28
Multiply the first equation by −1 to get −2x − 4y = −14

Answer 7

x and y are fractions.
{x = 33/7, y = 8/7}

Answer 8

so which one would it be @robtobey

Answer 9

@robtobey

Answer 10

x = 33/7
y = 8/7
Plug the above values into each equation in order to verify their values.

Answer 11

If each side of
2x + 4y = 14
is divided by 2, then
x + 2y = 7 .
Now the second equation can be multiplied by -2.